Given: an n-gon
Prove: The sum of the measures of the interior angles is 180(n – 2)°.
Complete the missing parts of the paragraph proof.
We are given an n-gon, which has n sides and n vertices.
Answers:
1. If we choose one of the vertices, we can draw <u>n-3</u> diagonals.
2. These diagonals form <u>n-2</u> triangles.
3. The sum of the interior angle measures of a triangle is <u>180</u> degrees.
4. <u>n – 2</u> triangles would have an interior angle measure sum of <u>180</u> degrees.
5. Therefore, the sum of the measures of the interior angles of an n-gon is 180(n – 2)°.
Answer:
Four times a number is equal to eight times a number minus a number.
Step-by-step explanation:
Answer:
the next number would be -21
Answer: x = -7 ± 8i
Step-by-step explanation: Solve the euqation for x by finding a, b, and c of the quadratic then applying the quadratic formula
Hope this helps! :) ~Zane
Answer:
98.25
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Convert 
= ∛(27⁴) = 81
Step 2: Convert 
= 16
Step 3: Convert 
= 1.25
Step 4: Combine
81 + 16 + 1.25
97 + 1.25
98.25
